Задание №2
Выбрать соответствующий номеру по списку группы вариант с данными и решить следующую задачу:
Найти оптимальный план замены оборудования на 6-летний период, если известны производительность оборудования r(t) и остаточная стоимость оборудования S(t) в зависимости от возраста, стоимость нового оборудования P (заданы в таблице). Возраст оборудования к началу эксплуатации равен 1 году.
1
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
11
|
10
|
9
|
9
|
8
|
8
|
7
|
11
|
|
S (t)
|
11
|
8
|
5
|
4
|
3
|
2
|
1
|
-
|
2
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
10
|
9
|
8
|
7
|
6
|
4
|
2
|
12
|
|
S (t)
|
11
|
10
|
9
|
7
|
6
|
5
|
4
|
-
|
3
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
12
|
11
|
9
|
7
|
6
|
6
|
11
|
|
S (t)
|
11
|
10
|
9
|
7
|
6
|
5
|
3
|
-
|
4
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
8
|
8
|
7
|
7
|
7
|
6
|
6
|
10
|
|
S (t)
|
7
|
6
|
5
|
4
|
3
|
2
|
1
|
-
|
5
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
9
|
8
|
7
|
6
|
6
|
5
|
4
|
9
|
|
S (t)
|
9
|
9
|
8
|
7
|
6
|
4
|
3
|
-
|
6
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
15
|
14
|
14
|
13
|
12
|
10
|
8
|
16
|
|
S (t)
|
16
|
14
|
12
|
10
|
8
|
6
|
5
|
-
|
7
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
15
|
14
|
13
|
13
|
12
|
12
|
10
|
16
|
|
S (t)
|
16
|
14
|
13
|
11
|
10
|
8
|
6
|
-
|
8
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
10
|
9
|
9
|
7
|
7
|
6
|
6
|
11
|
|
S (t)
|
11
|
9
|
7
|
5
|
4
|
3
|
2
|
-
|
9
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
12
|
11
|
10
|
8
|
6
|
3
|
14
|
|
S (t)
|
13
|
12
|
11
|
10
|
8
|
5
|
2
|
-
|
10
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
10
|
9
|
8
|
8
|
6
|
5
|
4
|
11
|
|
S (t)
|
9
|
8
|
7
|
5
|
3
|
3
|
2
|
-
|
11
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
8
|
8
|
8
|
8
|
7
|
7
|
7
|
8
|
|
S (t)
|
6
|
5
|
5
|
5
|
5
|
4
|
4
|
-
|
12
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
10
|
9
|
6
|
5
|
5
|
4
|
3
|
13
|
|
S (t)
|
12
|
10
|
8
|
8
|
7
|
6
|
4
|
-
|
13
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
10
|
9
|
7
|
7
|
6
|
4
|
3
|
13
|
|
S (t)
|
12
|
10
|
9
|
9
|
7
|
6
|
5
|
-
|
14
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
12
|
11
|
11
|
10
|
10
|
8
|
14
|
|
S (t)
|
13
|
12
|
11
|
10
|
8
|
6
|
3
|
-
|
15
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
11
|
9
|
8
|
7
|
6
|
6
|
4
|
12
|
|
S (t)
|
10
|
7
|
6
|
5
|
5
|
4
|
2
|
-
|
16
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
12
|
12
|
11
|
11
|
10
|
8
|
11
|
|
S (t)
|
10
|
10
|
9
|
9
|
8
|
8
|
6
|
-
|
17
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
9
|
8
|
8
|
7
|
7
|
6
|
6
|
7
|
|
S (t)
|
7
|
6
|
5
|
4
|
4
|
3
|
2
|
-
|
18
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
12
|
12
|
11
|
11
|
10
|
8
|
8
|
|
S (t)
|
7
|
6
|
5
|
4
|
4
|
3
|
2
|
-
|
19
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
10
|
10
|
10
|
8
|
6
|
6
|
11
|
|
S (t)
|
11
|
10
|
8
|
8
|
7
|
6
|
4
|
-
|
20
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
9
|
8
|
8
|
6
|
6
|
4
|
10
|
|
S (t)
|
9
|
9
|
8
|
6
|
6
|
5
|
4
|
-
|
21
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
9
|
8
|
8
|
7
|
7
|
6
|
5
|
7
|
|
S (t)
|
7
|
6
|
5
|
4
|
4
|
3
|
2
|
-
|
22
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
10
|
8
|
8
|
6
|
5
|
3
|
10
|
|
S (t)
|
10
|
9
|
8
|
7
|
7
|
5
|
5
|
-
|
23
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
8
|
8
|
7
|
7
|
6
|
5
|
5
|
13
|
|
S (t)
|
12
|
10
|
8
|
8
|
6
|
5
|
4
|
-
|
24
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
11
|
10
|
9
|
9
|
7
|
6
|
5
|
10
|
|
S (t)
|
9
|
8
|
8
|
6
|
5
|
5
|
3
|
-
|
25
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
10
|
9
|
8
|
6
|
5
|
2
|
11
|
|
S (t)
|
10
|
9
|
8
|
8
|
6
|
6
|
4
|
-
|
26
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
11
|
10
|
9
|
9
|
8
|
8
|
7
|
11
|
|
S (t)
|
11
|
8
|
5
|
4
|
3
|
2
|
1
|
-
|
27
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
10
|
9
|
8
|
7
|
6
|
4
|
2
|
12
|
|
S (t)
|
11
|
10
|
9
|
7
|
6
|
5
|
4
|
-
|
28
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
12
|
12
|
11
|
9
|
7
|
6
|
6
|
11
|
|
S (t)
|
11
|
10
|
9
|
7
|
6
|
5
|
3
|
-
|
29
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
8
|
8
|
7
|
7
|
7
|
6
|
6
|
10
|
|
S (t)
|
7
|
6
|
5
|
4
|
3
|
2
|
1
|
-
|
30
|
t
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
P
|
|
r (t)
|
9
|
8
|
7
|
6
|
6
|
5
|
4
|
9
|
|
S (t)
|
9
|
9
|
8
|
7
|
6
|
4
|
3
|
-
|
| 
